Details

sample75.0ms

Algorithm

intervals

Results

24.0ms	318×	body	80	valid
17.0ms	52×	body	1280	valid
12.0ms	56×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	18×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	32	4
2	68	4
3	146	4
4	292	4
5	556	4
6	1543	4
7	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (sin x) (sinh y))
12.0b	(/ (* (sin x) (sinh y)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `expm1-log1p-u` `sinh-def` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

2 → 45

Calls

2 calls:

4.0ms	(* (sin x) (sinh y))
4.0ms	(/ (* (sin x) (sinh y)) x)

series177.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(* (sin x) (sinh y))
94.0ms	(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	271	298
1	1234	252
2	5001	234

prune109.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (sinh y) x)
0.1b	(* (sin x) (/ (sinh y) x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

3.0ms	(/ (sinh y) x)
8.0ms	(* (sin x) (/ (sinh y) x))

series161.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ (sinh y) x)
91.0ms	(* (sin x) (/ (sinh y) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	322	408
1	1272	363
2	5001	361

prune163.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (sinh y))
0.7b	(/ (sin x) (/ x (sinh y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
53×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-/r*`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `div-inv` `associate-/l*`
5×	`sinh-def`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`

Counts

2 → 106

Calls

2 calls:

2.0ms	(/ x (sinh y))
6.0ms	(/ (sin x) (/ x (sinh y)))

series203.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(/ x (sinh y))
96.0ms	(/ (sin x) (/ x (sinh y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	465	914
1	1976	864
2	5001	843

prune257.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (sin x) x) (sinh y))
0.1b	(/ (sin x) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-r` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 65

Calls

2 calls:

9.0ms	(* (/ (sin x) x) (sinh y))
3.0ms	(/ (sin x) x)

series129.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(* (/ (sin x) x) (sinh y))
28.0ms	(/ (sin x) x)

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	298	403
1	1214	358
2	5001	345

prune148.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

640.0ms	10212×	body	80	valid
568.0ms	1779×	body	1280	valid
423.0ms	1944×	body	640	valid
169.0ms	1115×	body	320	valid
65.0ms	585×	body	160	valid